% Mizar problem: t559_xprimes0,xprimes0,3873,7 
fof(t559_xprimes0, conjecture,  ~ (v1_int_2(559)) ).
fof(cc10_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(d3_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(A, B) <=>  (? [C] :  (v7_ordinal1(C) & B=k3_xcmplx_0(A, C)) ) ) ) ) ) ) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_xcmplx_0, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(redefinition_r1_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (r1_nat_d(A, B) <=> r1_int_1(A, B)) ) ) ).
fof(reflexivity_r1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => r1_int_1(A, A)) ) ).
fof(reflexivity_r1_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => r1_nat_d(A, A)) ) ).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r12_rm12, axiom, k6_xcmplx_0(0, 12)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r0_r13_rm13, axiom, k6_xcmplx_0(0, 13)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r30_rm30, axiom, k6_xcmplx_0(0, 30)=k4_xcmplx_0(30)).
fof(rqRealDiff__k6_xcmplx_0__r0_r42_rm42, axiom, k6_xcmplx_0(0, 42)=k4_xcmplx_0(42)).
fof(rqRealDiff__k6_xcmplx_0__r0_r43_rm43, axiom, k6_xcmplx_0(0, 43)=k4_xcmplx_0(43)).
fof(rqRealDiff__k6_xcmplx_0__r0_r516_rm516, axiom, k6_xcmplx_0(0, 516)=k4_xcmplx_0(516)).
fof(rqRealDiff__k6_xcmplx_0__r0_r546_rm546, axiom, k6_xcmplx_0(0, 546)=k4_xcmplx_0(546)).
fof(rqRealDiff__k6_xcmplx_0__r0_r558_rm558, axiom, k6_xcmplx_0(0, 558)=k4_xcmplx_0(558)).
fof(rqRealDiff__k6_xcmplx_0__r0_r559_rm559, axiom, k6_xcmplx_0(0, 559)=k4_xcmplx_0(559)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d12_rnm1d12, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealDiff__k6_xcmplx_0__r12_r0_r12, axiom, k6_xcmplx_0(12, 0)=12).
fof(rqRealDiff__k6_xcmplx_0__r12_r12_r0, axiom, k6_xcmplx_0(12, 12)=0).
fof(rqRealDiff__k6_xcmplx_0__r12_r13_rm1, axiom, k6_xcmplx_0(12, 13)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r12_r42_rm30, axiom, k6_xcmplx_0(12, 42)=k4_xcmplx_0(30)).
fof(rqRealDiff__k6_xcmplx_0__r12_rm1_r13, axiom, k6_xcmplx_0(12, k4_xcmplx_0(1))=13).
fof(rqRealDiff__k6_xcmplx_0__r13_r0_r13, axiom, k6_xcmplx_0(13, 0)=13).
fof(rqRealDiff__k6_xcmplx_0__r13_r12_r1, axiom, k6_xcmplx_0(13, 12)=1).
fof(rqRealDiff__k6_xcmplx_0__r13_r13_r0, axiom, k6_xcmplx_0(13, 13)=0).
fof(rqRealDiff__k6_xcmplx_0__r13_r1_r12, axiom, k6_xcmplx_0(13, 1)=12).
fof(rqRealDiff__k6_xcmplx_0__r13_r43_rm30, axiom, k6_xcmplx_0(13, 43)=k4_xcmplx_0(30)).
fof(rqRealDiff__k6_xcmplx_0__r13_r559_rm546, axiom, k6_xcmplx_0(13, 559)=k4_xcmplx_0(546)).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r13_rm12, axiom, k6_xcmplx_0(1, 13)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r43_rm42, axiom, k6_xcmplx_0(1, 43)=k4_xcmplx_0(42)).
fof(rqRealDiff__k6_xcmplx_0__r1_r559_rm558, axiom, k6_xcmplx_0(1, 559)=k4_xcmplx_0(558)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm12_r13, axiom, k6_xcmplx_0(1, k4_xcmplx_0(12))=13).
fof(rqRealDiff__k6_xcmplx_0__r1_rm42_r43, axiom, k6_xcmplx_0(1, k4_xcmplx_0(42))=43).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d43_rn42d43, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 43))=k7_xcmplx_0(42, 43)).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d12_rn13d12, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 12))=k7_xcmplx_0(13, 12)).
fof(rqRealDiff__k6_xcmplx_0__r30_r0_r30, axiom, k6_xcmplx_0(30, 0)=30).
fof(rqRealDiff__k6_xcmplx_0__r30_r30_r0, axiom, k6_xcmplx_0(30, 30)=0).
fof(rqRealDiff__k6_xcmplx_0__r30_r42_rm12, axiom, k6_xcmplx_0(30, 42)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r30_r43_rm13, axiom, k6_xcmplx_0(30, 43)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r30_r546_rm516, axiom, k6_xcmplx_0(30, 546)=k4_xcmplx_0(516)).
fof(rqRealDiff__k6_xcmplx_0__r42_r0_r42, axiom, k6_xcmplx_0(42, 0)=42).
fof(rqRealDiff__k6_xcmplx_0__r42_r12_r30, axiom, k6_xcmplx_0(42, 12)=30).
fof(rqRealDiff__k6_xcmplx_0__r42_r42_r0, axiom, k6_xcmplx_0(42, 42)=0).
fof(rqRealDiff__k6_xcmplx_0__r42_r43_rm1, axiom, k6_xcmplx_0(42, 43)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r42_rm1_r43, axiom, k6_xcmplx_0(42, k4_xcmplx_0(1))=43).
fof(rqRealDiff__k6_xcmplx_0__r43_r0_r43, axiom, k6_xcmplx_0(43, 0)=43).
fof(rqRealDiff__k6_xcmplx_0__r43_r13_r30, axiom, k6_xcmplx_0(43, 13)=30).
fof(rqRealDiff__k6_xcmplx_0__r43_r1_r42, axiom, k6_xcmplx_0(43, 1)=42).
fof(rqRealDiff__k6_xcmplx_0__r43_r42_r1, axiom, k6_xcmplx_0(43, 42)=1).
fof(rqRealDiff__k6_xcmplx_0__r43_r43_r0, axiom, k6_xcmplx_0(43, 43)=0).
fof(rqRealDiff__k6_xcmplx_0__r516_r0_r516, axiom, k6_xcmplx_0(516, 0)=516).
fof(rqRealDiff__k6_xcmplx_0__r546_r0_r546, axiom, k6_xcmplx_0(546, 0)=546).
fof(rqRealDiff__k6_xcmplx_0__r546_r546_r0, axiom, k6_xcmplx_0(546, 546)=0).
fof(rqRealDiff__k6_xcmplx_0__r558_r0_r558, axiom, k6_xcmplx_0(558, 0)=558).
fof(rqRealDiff__k6_xcmplx_0__r559_r0_r559, axiom, k6_xcmplx_0(559, 0)=559).
fof(rqRealDiff__k6_xcmplx_0__r559_r13_r546, axiom, k6_xcmplx_0(559, 13)=546).
fof(rqRealDiff__k6_xcmplx_0__r559_r1_r558, axiom, k6_xcmplx_0(559, 1)=558).
fof(rqRealDiff__k6_xcmplx_0__r559_r43_r516, axiom, k6_xcmplx_0(559, 43)=516).
fof(rqRealDiff__k6_xcmplx_0__rm12_r0_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 0)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r1_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm12_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(12))=0).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm13_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(13))=1).
fof(rqRealDiff__k6_xcmplx_0__rm13_r0_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 0)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm12_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(12))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm13_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(13))=0).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm1_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(1))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm43_r30, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(43))=30).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r12_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 12)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r42_rm43, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 42)=k4_xcmplx_0(43)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm13_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(13))=12).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm43_r42, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(43))=42).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm559_r558, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(559))=558).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d12_rnm13d12, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(13), 12)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d43_rnm42d43, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 43))=k7_xcmplx_0(k4_xcmplx_0(42), 43)).
fof(rqRealDiff__k6_xcmplx_0__rm30_r12_rm42, axiom, k6_xcmplx_0(k4_xcmplx_0(30), 12)=k4_xcmplx_0(42)).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm30_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(30), k4_xcmplx_0(30))=0).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm42_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(30), k4_xcmplx_0(42))=12).
fof(rqRealDiff__k6_xcmplx_0__rm42_r0_rm42, axiom, k6_xcmplx_0(k4_xcmplx_0(42), 0)=k4_xcmplx_0(42)).
fof(rqRealDiff__k6_xcmplx_0__rm42_r1_rm43, axiom, k6_xcmplx_0(k4_xcmplx_0(42), 1)=k4_xcmplx_0(43)).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm12_rm30, axiom, k6_xcmplx_0(k4_xcmplx_0(42), k4_xcmplx_0(12))=k4_xcmplx_0(30)).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm30_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(42), k4_xcmplx_0(30))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm42_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(42), k4_xcmplx_0(42))=0).
fof(rqRealDiff__k6_xcmplx_0__rm43_r0_rm43, axiom, k6_xcmplx_0(k4_xcmplx_0(43), 0)=k4_xcmplx_0(43)).
fof(rqRealDiff__k6_xcmplx_0__rm43_rm1_rm42, axiom, k6_xcmplx_0(k4_xcmplx_0(43), k4_xcmplx_0(1))=k4_xcmplx_0(42)).
fof(rqRealDiff__k6_xcmplx_0__rm43_rm42_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(43), k4_xcmplx_0(42))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm43_rm43_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(43), k4_xcmplx_0(43))=0).
fof(rqRealDiff__k6_xcmplx_0__rm516_r0_rm516, axiom, k6_xcmplx_0(k4_xcmplx_0(516), 0)=k4_xcmplx_0(516)).
fof(rqRealDiff__k6_xcmplx_0__rm516_rm516_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(516), k4_xcmplx_0(516))=0).
fof(rqRealDiff__k6_xcmplx_0__rm546_r0_rm546, axiom, k6_xcmplx_0(k4_xcmplx_0(546), 0)=k4_xcmplx_0(546)).
fof(rqRealDiff__k6_xcmplx_0__rm546_rm546_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(546), k4_xcmplx_0(546))=0).
fof(rqRealDiff__k6_xcmplx_0__rm558_rm558_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(558), k4_xcmplx_0(558))=0).
fof(rqRealDiff__k6_xcmplx_0__rm559_rm559_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(559), k4_xcmplx_0(559))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_r0_rn1d12, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 12), 0)=k7_xcmplx_0(1, 12)).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rn1d12_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 12), k7_xcmplx_0(1, 12))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d42_rn1d42_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 42), k7_xcmplx_0(1, 42))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_r1_rnm13d12, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 1)=k7_xcmplx_0(k4_xcmplx_0(13), 12)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_rnm1d12_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), k7_xcmplx_0(k4_xcmplx_0(1), 12))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d30_rnm1d30_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 30), k7_xcmplx_0(k4_xcmplx_0(1), 30))=0).
fof(rqRealDiv__k7_xcmplx_0__r12_r12_r1, axiom, k7_xcmplx_0(12, 12)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r12_rn1d12, axiom, k7_xcmplx_0(1, 12)=k7_xcmplx_0(1, 12)).
fof(rqRealDiv__k7_xcmplx_0__r1_r13_rn1d13, axiom, k7_xcmplx_0(1, 13)=k7_xcmplx_0(1, 13)).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r30_rn1d30, axiom, k7_xcmplx_0(1, 30)=k7_xcmplx_0(1, 30)).
fof(rqRealDiv__k7_xcmplx_0__r1_r42_rn1d42, axiom, k7_xcmplx_0(1, 42)=k7_xcmplx_0(1, 42)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm12_rnm1d12, axiom, k7_xcmplx_0(1, k4_xcmplx_0(12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm13_rnm1d13, axiom, k7_xcmplx_0(1, k4_xcmplx_0(13))=k7_xcmplx_0(k4_xcmplx_0(1), 13)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom, k7_xcmplx_0(1, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm43_rnm1d43, axiom, k7_xcmplx_0(1, k4_xcmplx_0(43))=k7_xcmplx_0(k4_xcmplx_0(1), 43)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d42_r42, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 42))=42).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d30_rm30, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 30))=k4_xcmplx_0(30)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r12_r0, axiom, k3_xcmplx_0(0, 12)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r13_r0, axiom, k3_xcmplx_0(0, 13)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r30_r0, axiom, k3_xcmplx_0(0, 30)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r516_r0, axiom, k3_xcmplx_0(0, 516)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r546_r0, axiom, k3_xcmplx_0(0, 546)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r558_r0, axiom, k3_xcmplx_0(0, 558)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r559_r0, axiom, k3_xcmplx_0(0, 559)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d12_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 12))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d30_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 30))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d42_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 42))=0).
fof(rqRealMult__k3_xcmplx_0__r12_r0_r0, axiom, k3_xcmplx_0(12, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r12_r1_r12, axiom, k3_xcmplx_0(12, 1)=12).
fof(rqRealMult__k3_xcmplx_0__r12_rm43_rm516, axiom, k3_xcmplx_0(12, k4_xcmplx_0(43))=k4_xcmplx_0(516)).
fof(rqRealMult__k3_xcmplx_0__r12_rn1d12_r1, axiom, k3_xcmplx_0(12, k7_xcmplx_0(1, 12))=1).
fof(rqRealMult__k3_xcmplx_0__r12_rnm1d12_rm1, axiom, k3_xcmplx_0(12, k7_xcmplx_0(k4_xcmplx_0(1), 12))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r13_r0_r0, axiom, k3_xcmplx_0(13, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r13_r1_r13, axiom, k3_xcmplx_0(13, 1)=13).
fof(rqRealMult__k3_xcmplx_0__r13_r42_r546, axiom, k3_xcmplx_0(13, 42)=546).
fof(rqRealMult__k3_xcmplx_0__r13_r43_r559, axiom, k3_xcmplx_0(13, 43)=559).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r12_r12, axiom, k3_xcmplx_0(1, 12)=12).
fof(rqRealMult__k3_xcmplx_0__r1_r13_r13, axiom, k3_xcmplx_0(1, 13)=13).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r30_r30, axiom, k3_xcmplx_0(1, 30)=30).
fof(rqRealMult__k3_xcmplx_0__r1_r42_r42, axiom, k3_xcmplx_0(1, 42)=42).
fof(rqRealMult__k3_xcmplx_0__r1_r43_r43, axiom, k3_xcmplx_0(1, 43)=43).
fof(rqRealMult__k3_xcmplx_0__r1_r516_r516, axiom, k3_xcmplx_0(1, 516)=516).
fof(rqRealMult__k3_xcmplx_0__r1_r546_r546, axiom, k3_xcmplx_0(1, 546)=546).
fof(rqRealMult__k3_xcmplx_0__r1_r558_r558, axiom, k3_xcmplx_0(1, 558)=558).
fof(rqRealMult__k3_xcmplx_0__r1_r559_r559, axiom, k3_xcmplx_0(1, 559)=559).
fof(rqRealMult__k3_xcmplx_0__r1_rm12_rm12, axiom, k3_xcmplx_0(1, k4_xcmplx_0(12))=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__r1_rm13_rm13, axiom, k3_xcmplx_0(1, k4_xcmplx_0(13))=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__r1_rm30_rm30, axiom, k3_xcmplx_0(1, k4_xcmplx_0(30))=k4_xcmplx_0(30)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d12_rn1d12, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 12))=k7_xcmplx_0(1, 12)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d30_rn1d30, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 30))=k7_xcmplx_0(1, 30)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d42_rn1d42, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 42))=k7_xcmplx_0(1, 42)).
fof(rqRealMult__k3_xcmplx_0__r30_r0_r0, axiom, k3_xcmplx_0(30, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r30_r1_r30, axiom, k3_xcmplx_0(30, 1)=30).
fof(rqRealMult__k3_xcmplx_0__r30_rn1d30_r1, axiom, k3_xcmplx_0(30, k7_xcmplx_0(1, 30))=1).
fof(rqRealMult__k3_xcmplx_0__r42_r13_r546, axiom, k3_xcmplx_0(42, 13)=546).
fof(rqRealMult__k3_xcmplx_0__r42_r1_r42, axiom, k3_xcmplx_0(42, 1)=42).
fof(rqRealMult__k3_xcmplx_0__r42_rn1d42_r1, axiom, k3_xcmplx_0(42, k7_xcmplx_0(1, 42))=1).
fof(rqRealMult__k3_xcmplx_0__r42_rn1d43_rn42d43, axiom, k3_xcmplx_0(42, k7_xcmplx_0(1, 43))=k7_xcmplx_0(42, 43)).
fof(rqRealMult__k3_xcmplx_0__r42_rnm1d43_rnm42d43, axiom, k3_xcmplx_0(42, k7_xcmplx_0(k4_xcmplx_0(1), 43))=k7_xcmplx_0(k4_xcmplx_0(42), 43)).
fof(rqRealMult__k3_xcmplx_0__r43_r13_r559, axiom, k3_xcmplx_0(43, 13)=559).
fof(rqRealMult__k3_xcmplx_0__r43_r1_r43, axiom, k3_xcmplx_0(43, 1)=43).
fof(rqRealMult__k3_xcmplx_0__r43_rn1d43_r1, axiom, k3_xcmplx_0(43, k7_xcmplx_0(1, 43))=1).
fof(rqRealMult__k3_xcmplx_0__r43_rn42d43_r42, axiom, k3_xcmplx_0(43, k7_xcmplx_0(42, 43))=42).
fof(rqRealMult__k3_xcmplx_0__r43_rnm1d43_rm1, axiom, k3_xcmplx_0(43, k7_xcmplx_0(k4_xcmplx_0(1), 43))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r516_r0_r0, axiom, k3_xcmplx_0(516, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r546_r0_r0, axiom, k3_xcmplx_0(546, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r546_r1_r546, axiom, k3_xcmplx_0(546, 1)=546).
fof(rqRealMult__k3_xcmplx_0__r558_r0_r0, axiom, k3_xcmplx_0(558, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r559_r0_r0, axiom, k3_xcmplx_0(559, 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm12_r1_rm12, axiom, k3_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__rm12_rn1d12_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(12), k7_xcmplx_0(1, 12))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm12_rnm1d12_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(12), k7_xcmplx_0(k4_xcmplx_0(1), 12))=1).
fof(rqRealMult__k3_xcmplx_0__rm13_r1_rm13, axiom, k3_xcmplx_0(k4_xcmplx_0(13), 1)=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__rm13_rm43_r559, axiom, k3_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(43))=559).
fof(rqRealMult__k3_xcmplx_0__rm30_r1_rm30, axiom, k3_xcmplx_0(k4_xcmplx_0(30), 1)=k4_xcmplx_0(30)).
fof(rqRealMult__k3_xcmplx_0__rm30_rn1d30_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(30), k7_xcmplx_0(1, 30))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm30_rnm1d30_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(30), k7_xcmplx_0(k4_xcmplx_0(1), 30))=1).
fof(rqRealMult__k3_xcmplx_0__rm42_r1_rm42, axiom, k3_xcmplx_0(k4_xcmplx_0(42), 1)=k4_xcmplx_0(42)).
fof(rqRealMult__k3_xcmplx_0__rm43_r1_rm43, axiom, k3_xcmplx_0(k4_xcmplx_0(43), 1)=k4_xcmplx_0(43)).
fof(rqRealMult__k3_xcmplx_0__rm43_rn1d43_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(43), k7_xcmplx_0(1, 43))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm43_rn42d43_rm42, axiom, k3_xcmplx_0(k4_xcmplx_0(43), k7_xcmplx_0(42, 43))=k4_xcmplx_0(42)).
fof(rqRealMult__k3_xcmplx_0__rm43_rnm1d43_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(43), k7_xcmplx_0(k4_xcmplx_0(1), 43))=1).
fof(rqRealMult__k3_xcmplx_0__rn13d42_r1_rn13d42, axiom, k3_xcmplx_0(k7_xcmplx_0(13, 42), 1)=k7_xcmplx_0(13, 42)).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r12_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), 12)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r1_rn1d12, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), 1)=k7_xcmplx_0(1, 12)).
fof(rqRealMult__k3_xcmplx_0__rn1d12_rm12_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), k4_xcmplx_0(12))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d13_r13_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 13), 13)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d13_rm13_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 13), k4_xcmplx_0(13))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d30_r1_rn1d30, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 30), 1)=k7_xcmplx_0(1, 30)).
fof(rqRealMult__k3_xcmplx_0__rn1d30_r30_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 30), 30)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r1_rn1d42, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 42), 1)=k7_xcmplx_0(1, 42)).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r42_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 42), 42)=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r12_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 12)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r1_rnm1d12, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_rm12_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), k4_xcmplx_0(12))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d13_r559_rm43, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 13), 559)=k4_xcmplx_0(43)).
fof(rqRealMult__k3_xcmplx_0__rnm1d13_rm13_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 13), k4_xcmplx_0(13))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d30_r1_rnm1d30, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 30), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 30)).
fof(rqRealMult__k3_xcmplx_0__rnm1d42_r1_rnm1d42, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 42), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 42)).
fof(rqRealMult__k3_xcmplx_0__rnm1d43_r1_rnm1d43, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 43), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 43)).
fof(rqRealMult__k3_xcmplx_0__rnm1d43_r43_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 43), 43)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d43_rm42_rn42d43, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 43), k4_xcmplx_0(42))=k7_xcmplx_0(42, 43)).
fof(rqRealMult__k3_xcmplx_0__rnm1d43_rm43_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 43), k4_xcmplx_0(43))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r12_rm12, axiom, k4_xcmplx_0(12)=k4_xcmplx_0(12)).
fof(rqRealNeg__k4_xcmplx_0__r13_rm13, axiom, k4_xcmplx_0(13)=k4_xcmplx_0(13)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r30_rm30, axiom, k4_xcmplx_0(30)=k4_xcmplx_0(30)).
fof(rqRealNeg__k4_xcmplx_0__r42_rm42, axiom, k4_xcmplx_0(42)=k4_xcmplx_0(42)).
fof(rqRealNeg__k4_xcmplx_0__r43_rm43, axiom, k4_xcmplx_0(43)=k4_xcmplx_0(43)).
fof(rqRealNeg__k4_xcmplx_0__r516_rm516, axiom, k4_xcmplx_0(516)=k4_xcmplx_0(516)).
fof(rqRealNeg__k4_xcmplx_0__r546_rm546, axiom, k4_xcmplx_0(546)=k4_xcmplx_0(546)).
fof(rqRealNeg__k4_xcmplx_0__r558_rm558, axiom, k4_xcmplx_0(558)=k4_xcmplx_0(558)).
fof(rqRealNeg__k4_xcmplx_0__r559_rm559, axiom, k4_xcmplx_0(559)=k4_xcmplx_0(559)).
fof(rqRealNeg__k4_xcmplx_0__rm12_r12, axiom, k4_xcmplx_0(k4_xcmplx_0(12))=12).
fof(rqRealNeg__k4_xcmplx_0__rm13_r13, axiom, k4_xcmplx_0(k4_xcmplx_0(13))=13).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm30_r30, axiom, k4_xcmplx_0(k4_xcmplx_0(30))=30).
fof(rqRealNeg__k4_xcmplx_0__rm42_r42, axiom, k4_xcmplx_0(k4_xcmplx_0(42))=42).
fof(rqRealNeg__k4_xcmplx_0__rm43_r43, axiom, k4_xcmplx_0(k4_xcmplx_0(43))=43).
fof(rqRealNeg__k4_xcmplx_0__rm516_r516, axiom, k4_xcmplx_0(k4_xcmplx_0(516))=516).
fof(rqRealNeg__k4_xcmplx_0__rm546_r546, axiom, k4_xcmplx_0(k4_xcmplx_0(546))=546).
fof(rqRealNeg__k4_xcmplx_0__rm558_r558, axiom, k4_xcmplx_0(k4_xcmplx_0(558))=558).
fof(rqRealNeg__k4_xcmplx_0__rm559_r559, axiom, k4_xcmplx_0(k4_xcmplx_0(559))=559).
fof(rqRealNeg__k4_xcmplx_0__rn12d13_rnm12d13, axiom, k4_xcmplx_0(k7_xcmplx_0(12, 13))=k7_xcmplx_0(k4_xcmplx_0(12), 13)).
fof(rqRealNeg__k4_xcmplx_0__rn1d12_rnm1d12, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealNeg__k4_xcmplx_0__rn1d30_rnm1d30, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 30))=k7_xcmplx_0(k4_xcmplx_0(1), 30)).
fof(rqRealNeg__k4_xcmplx_0__rn1d42_rnm1d42, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 42))=k7_xcmplx_0(k4_xcmplx_0(1), 42)).
fof(rqRealNeg__k4_xcmplx_0__rn1d43_rnm1d43, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 43))=k7_xcmplx_0(k4_xcmplx_0(1), 43)).
fof(rqRealNeg__k4_xcmplx_0__rn42d43_rnm42d43, axiom, k4_xcmplx_0(k7_xcmplx_0(42, 43))=k7_xcmplx_0(k4_xcmplx_0(42), 43)).
fof(rqRealNeg__k4_xcmplx_0__rnm12d13_rn12d13, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(12), 13))=k7_xcmplx_0(12, 13)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d12_rn1d12, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12))=k7_xcmplx_0(1, 12)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d30_rn1d30, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 30))=k7_xcmplx_0(1, 30)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d42_rn1d42, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 42))=k7_xcmplx_0(1, 42)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d43_rn1d43, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 43))=k7_xcmplx_0(1, 43)).
fof(rqRealNeg__k4_xcmplx_0__rnm42d43_rn42d43, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(42), 43))=k7_xcmplx_0(42, 43)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc12_numerals, axiom,  (v2_xxreal_0(12) & m1_subset_1(12, k4_ordinal1)) ).
fof(spc13_numerals, axiom,  (v2_xxreal_0(13) & m1_subset_1(13, k4_ordinal1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc30_numerals, axiom,  (v2_xxreal_0(30) & m1_subset_1(30, k4_ordinal1)) ).
fof(spc42_numerals, axiom,  (v2_xxreal_0(42) & m1_subset_1(42, k4_ordinal1)) ).
fof(spc43_numerals, axiom,  (v2_xxreal_0(43) & m1_subset_1(43, k4_ordinal1)) ).
fof(spc4_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(A, k7_xcmplx_0(B, C))=k7_xcmplx_0(k3_xcmplx_0(A, B), C)) ) ).
fof(spc516_numerals, axiom,  (v2_xxreal_0(516) & m1_subset_1(516, k4_ordinal1)) ).
fof(spc546_numerals, axiom,  (v2_xxreal_0(546) & m1_subset_1(546, k4_ordinal1)) ).
fof(spc558_numerals, axiom,  (v2_xxreal_0(558) & m1_subset_1(558, k4_ordinal1)) ).
fof(spc559_numerals, axiom,  (v2_xxreal_0(559) & m1_subset_1(559, k4_ordinal1)) ).
fof(spc7_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ) ).
fof(spc9_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t6_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(A, 1)=A) ) ).
